3(5m+4)=4(2n-1)

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Solution for 3(5m+4)=4(2n-1) equation:


Simplifying
3(5m + 4) = 4(2n + -1)

Reorder the terms:
3(4 + 5m) = 4(2n + -1)
(4 * 3 + 5m * 3) = 4(2n + -1)
(12 + 15m) = 4(2n + -1)

Reorder the terms:
12 + 15m = 4(-1 + 2n)
12 + 15m = (-1 * 4 + 2n * 4)
12 + 15m = (-4 + 8n)

Solving
12 + 15m = -4 + 8n

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + 15m = -4 + -12 + 8n

Combine like terms: 12 + -12 = 0
0 + 15m = -4 + -12 + 8n
15m = -4 + -12 + 8n

Combine like terms: -4 + -12 = -16
15m = -16 + 8n

Divide each side by '15'.
m = -1.066666667 + 0.5333333333n

Simplifying
m = -1.066666667 + 0.5333333333n

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